Product of digits of a 2-digit number is 15. If we add 18 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Let the unit's digit of the number be $$y$$ and ten's digit be $$x$$
=> Number = $$10x + y$$
Product of digits = $$x \times y = 15$$ --------------(i)
According to question, => $$10x + y + 18 = 10y + x$$
=> $$9y - 9x = 18$$
=> $$y - x = \frac{18}{9} = 2$$ --------------(ii)
Solving equation (i) and (ii), we get : $$x = 3$$ and $$y = 5$$
$$\therefore$$ Number = 35
=> Ans - (A)
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